Finding the Third Proportional to 49,875 and 83,116.50

Step by Step Solution

1. Step 1: Write the proportion equation
   49,875 : 83,116.50 = 83,116.50 : x
2. Step 2: Convert to fraction form
   49,875/83,116.50 = 83,116.50/x
3. Step 3: Cross multiply
   49,875x = 83,116.50 × 83,116.50
4. Step 4: Simplify right side
   49,875x = 6,908,352,572.25
5. Step 5: Solve for x
   x = 6,908,352,572.25/49,875
6. Step 6: Final answer
   x = 138,513.33