Finding the Third Proportional to 116,375.50 and 177,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116,375.50 : 177,947.50 = 177,947.50 : x
2. Step 2: Convert to fraction form
   116,375.50/177,947.50 = 177,947.50/x
3. Step 3: Cross multiply
   116,375.50x = 177,947.50 × 177,947.50
4. Step 4: Simplify right side
   116,375.50x = 31,665,312,756.25
5. Step 5: Solve for x
   x = 31,665,312,756.25/116,375.50
6. Step 6: Final answer
   x = 272,096.04