Finding the Third Proportional to 78,324 and 152,700

Step by Step Solution

1. Step 1: Write the proportion equation
   78,324 : 152,700 = 152,700 : x
2. Step 2: Convert to fraction form
   78,324/152,700 = 152,700/x
3. Step 3: Cross multiply
   78,324x = 152,700 × 152,700
4. Step 4: Simplify right side
   78,324x = 23,317,290,000
5. Step 5: Solve for x
   x = 23,317,290,000/78,324
6. Step 6: Final answer
   x = 297,703.00