Finding the Third Proportional to 54,160 and 83,698.50

Step by Step Solution

1. Step 1: Write the proportion equation
   54,160 : 83,698.50 = 83,698.50 : x
2. Step 2: Convert to fraction form
   54,160/83,698.50 = 83,698.50/x
3. Step 3: Cross multiply
   54,160x = 83,698.50 × 83,698.50
4. Step 4: Simplify right side
   54,160x = 7,005,438,902.25
5. Step 5: Solve for x
   x = 7,005,438,902.25/54,160
6. Step 6: Final answer
   x = 129,347.10