Finding the Third Proportional to 82,123.50 and 117,427.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,123.50 : 117,427.50 = 117,427.50 : x
2. Step 2: Convert to fraction form
   82,123.50/117,427.50 = 117,427.50/x
3. Step 3: Cross multiply
   82,123.50x = 117,427.50 × 117,427.50
4. Step 4: Simplify right side
   82,123.50x = 13,789,217,756.25
5. Step 5: Solve for x
   x = 13,789,217,756.25/82,123.50
6. Step 6: Final answer
   x = 167,908.31