Finding the Third Proportional to 78,179.63 and 152,471.25

Step by Step Solution

1. Step 1: Write the proportion equation
   78,179.63 : 152,471.25 = 152,471.25 : x
2. Step 2: Convert to fraction form
   78,179.63/152,471.25 = 152,471.25/x
3. Step 3: Cross multiply
   78,179.63x = 152,471.25 × 152,471.25
4. Step 4: Simplify right side
   78,179.63x = 23,247,482,076.56
5. Step 5: Solve for x
   x = 23,247,482,076.56/78,179.63
6. Step 6: Final answer
   x = 297,359.86