Finding the Third Proportional to 85,677.50 and 128,012.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85,677.50 : 128,012.25 = 128,012.25 : x
2. Step 2: Convert to fraction form
   85,677.50/128,012.25 = 128,012.25/x
3. Step 3: Cross multiply
   85,677.50x = 128,012.25 × 128,012.25
4. Step 4: Simplify right side
   85,677.50x = 16,387,136,150.06
5. Step 5: Solve for x
   x = 16,387,136,150.06/85,677.50
6. Step 6: Final answer
   x = 191,265.34