Finding the Third Proportional to 69,519 and 152,572

Step by Step Solution

1. Step 1: Write the proportion equation
   69,519 : 152,572 = 152,572 : x
2. Step 2: Convert to fraction form
   69,519/152,572 = 152,572/x
3. Step 3: Cross multiply
   69,519x = 152,572 × 152,572
4. Step 4: Simplify right side
   69,519x = 23,278,215,184
5. Step 5: Solve for x
   x = 23,278,215,184/69,519
6. Step 6: Final answer
   x = 334,846.81