Finding the Third Proportional to 83,182.50 and 116,415.75

Step by Step Solution

1. Step 1: Write the proportion equation
   83,182.50 : 116,415.75 = 116,415.75 : x
2. Step 2: Convert to fraction form
   83,182.50/116,415.75 = 116,415.75/x
3. Step 3: Cross multiply
   83,182.50x = 116,415.75 × 116,415.75
4. Step 4: Simplify right side
   83,182.50x = 13,552,626,848.06
5. Step 5: Solve for x
   x = 13,552,626,848.06/83,182.50
6. Step 6: Final answer
   x = 162,926.42