Finding the Third Proportional to 78,006 and 152,124

Step by Step Solution

1. Step 1: Write the proportion equation
   78,006 : 152,124 = 152,124 : x
2. Step 2: Convert to fraction form
   78,006/152,124 = 152,124/x
3. Step 3: Cross multiply
   78,006x = 152,124 × 152,124
4. Step 4: Simplify right side
   78,006x = 23,141,711,376
5. Step 5: Solve for x
   x = 23,141,711,376/78,006
6. Step 6: Final answer
   x = 296,665.79