Finding the Third Proportional to 106,807.50 and 233,565

Step by Step Solution

1. Step 1: Write the proportion equation
   106,807.50 : 233,565 = 233,565 : x
2. Step 2: Convert to fraction form
   106,807.50/233,565 = 233,565/x
3. Step 3: Cross multiply
   106,807.50x = 233,565 × 233,565
4. Step 4: Simplify right side
   106,807.50x = 54,552,609,225
5. Step 5: Solve for x
   x = 54,552,609,225/106,807.50
6. Step 6: Final answer
   x = 510,756.35