Finding the Third Proportional to 54,645 and 83,554.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,645 : 83,554.50 = 83,554.50 : x
2. Step 2: Convert to fraction form
   54,645/83,554.50 = 83,554.50/x
3. Step 3: Cross multiply
   54,645x = 83,554.50 × 83,554.50
4. Step 4: Simplify right side
   54,645x = 6,981,354,470.25
5. Step 5: Solve for x
   x = 6,981,354,470.25/54,645
6. Step 6: Final answer
   x = 127,758.34