Finding the Third Proportional to 74,688 and 156,300

Step by Step Solution

1. Step 1: Write the proportion equation
   74,688 : 156,300 = 156,300 : x
2. Step 2: Convert to fraction form
   74,688/156,300 = 156,300/x
3. Step 3: Cross multiply
   74,688x = 156,300 × 156,300
4. Step 4: Simplify right side
   74,688x = 24,429,690,000
5. Step 5: Solve for x
   x = 24,429,690,000/74,688
6. Step 6: Final answer
   x = 327,089.89