Finding the Third Proportional to 78,008 and 152,126

Step by Step Solution

1. Step 1: Write the proportion equation
   78,008 : 152,126 = 152,126 : x
2. Step 2: Convert to fraction form
   78,008/152,126 = 152,126/x
3. Step 3: Cross multiply
   78,008x = 152,126 × 152,126
4. Step 4: Simplify right side
   78,008x = 23,142,319,876
5. Step 5: Solve for x
   x = 23,142,319,876/78,008
6. Step 6: Final answer
   x = 296,665.98