Finding the Third Proportional to 53,233.50 and 83,468.25

Step by Step Solution

1. Step 1: Write the proportion equation
   53,233.50 : 83,468.25 = 83,468.25 : x
2. Step 2: Convert to fraction form
   53,233.50/83,468.25 = 83,468.25/x
3. Step 3: Cross multiply
   53,233.50x = 83,468.25 × 83,468.25
4. Step 4: Simplify right side
   53,233.50x = 6,966,948,758.06
5. Step 5: Solve for x
   x = 6,966,948,758.06/53,233.50
6. Step 6: Final answer
   x = 130,875.27