Finding the Third Proportional to 105,280 and 152,392

Step by Step Solution

1. Step 1: Write the proportion equation
   105,280 : 152,392 = 152,392 : x
2. Step 2: Convert to fraction form
   105,280/152,392 = 152,392/x
3. Step 3: Cross multiply
   105,280x = 152,392 × 152,392
4. Step 4: Simplify right side
   105,280x = 23,223,321,664
5. Step 5: Solve for x
   x = 23,223,321,664/105,280
6. Step 6: Final answer
   x = 220,586.26