Finding the Third Proportional to 77,025 and 169,152

Step by Step Solution

1. Step 1: Write the proportion equation
   77,025 : 169,152 = 169,152 : x
2. Step 2: Convert to fraction form
   77,025/169,152 = 169,152/x
3. Step 3: Cross multiply
   77,025x = 169,152 × 169,152
4. Step 4: Simplify right side
   77,025x = 28,612,399,104
5. Step 5: Solve for x
   x = 28,612,399,104/77,025
6. Step 6: Final answer
   x = 371,468.99