Finding the Third Proportional to 83,034 and 124,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   83,034 : 124,654.50 = 124,654.50 : x
2. Step 2: Convert to fraction form
   83,034/124,654.50 = 124,654.50/x
3. Step 3: Cross multiply
   83,034x = 124,654.50 × 124,654.50
4. Step 4: Simplify right side
   83,034x = 15,538,744,370.25
5. Step 5: Solve for x
   x = 15,538,744,370.25/83,034
6. Step 6: Final answer
   x = 187,137.13