Finding the Third Proportional to 78,132 and 152,376

Step by Step Solution

1. Step 1: Write the proportion equation
   78,132 : 152,376 = 152,376 : x
2. Step 2: Convert to fraction form
   78,132/152,376 = 152,376/x
3. Step 3: Cross multiply
   78,132x = 152,376 × 152,376
4. Step 4: Simplify right side
   78,132x = 23,218,445,376
5. Step 5: Solve for x
   x = 23,218,445,376/78,132
6. Step 6: Final answer
   x = 297,169.47