Finding the Third Proportional to 97,978,693.50 and 161,332,256.25

Step by Step Solution

1. Step 1: Write the proportion equation
   97,978,693.50 : 161,332,256.25 = 161,332,256.25 : x
2. Step 2: Convert to fraction form
   97,978,693.50/161,332,256.25 = 161,332,256.25/x
3. Step 3: Cross multiply
   97,978,693.50x = 161,332,256.25 × 161,332,256.25
4. Step 4: Simplify right side
   97,978,693.50x = 26,028,096,906,715,664
5. Step 5: Solve for x
   x = 26,028,096,906,715,664/97,978,693.50
6. Step 6: Final answer
   x = 265,650,581.54