Finding the Third Proportional to 100,431 and 142,777.50

Step by Step Solution

1. Step 1: Write the proportion equation
   100,431 : 142,777.50 = 142,777.50 : x
2. Step 2: Convert to fraction form
   100,431/142,777.50 = 142,777.50/x
3. Step 3: Cross multiply
   100,431x = 142,777.50 × 142,777.50
4. Step 4: Simplify right side
   100,431x = 20,385,414,506.25
5. Step 5: Solve for x
   x = 20,385,414,506.25/100,431
6. Step 6: Final answer
   x = 202,979.30