Finding the Third Proportional to 73,978.31 and 161,762.06

Step by Step Solution

1. Step 1: Write the proportion equation
   73,978.31 : 161,762.06 = 161,762.06 : x
2. Step 2: Convert to fraction form
   73,978.31/161,762.06 = 161,762.06/x
3. Step 3: Cross multiply
   73,978.31x = 161,762.06 × 161,762.06
4. Step 4: Simplify right side
   73,978.31x = 26,166,964,864.25
5. Step 5: Solve for x
   x = 26,166,964,864.25/73,978.31
6. Step 6: Final answer
   x = 353,711.30