Finding the Third Proportional to 106,139.75 and 231,962.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,139.75 : 231,962.50 = 231,962.50 : x
2. Step 2: Convert to fraction form
   106,139.75/231,962.50 = 231,962.50/x
3. Step 3: Cross multiply
   106,139.75x = 231,962.50 × 231,962.50
4. Step 4: Simplify right side
   106,139.75x = 53,806,601,406.25
5. Step 5: Solve for x
   x = 53,806,601,406.25/106,139.75
6. Step 6: Final answer
   x = 506,941.10