Finding the Third Proportional to 97,932 and 214,315.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,932 : 214,315.50 = 214,315.50 : x
2. Step 2: Convert to fraction form
   97,932/214,315.50 = 214,315.50/x
3. Step 3: Cross multiply
   97,932x = 214,315.50 × 214,315.50
4. Step 4: Simplify right side
   97,932x = 45,931,133,540.25
5. Step 5: Solve for x
   x = 45,931,133,540.25/97,932
6. Step 6: Final answer
   x = 469,010.47