Finding the Third Proportional to 77,126 and 156,398

Step by Step Solution

1. Step 1: Write the proportion equation
   77,126 : 156,398 = 156,398 : x
2. Step 2: Convert to fraction form
   77,126/156,398 = 156,398/x
3. Step 3: Cross multiply
   77,126x = 156,398 × 156,398
4. Step 4: Simplify right side
   77,126x = 24,460,334,404
5. Step 5: Solve for x
   x = 24,460,334,404/77,126
6. Step 6: Final answer
   x = 317,147.71