Finding the Third Proportional to 105,232 and 152,318

Step by Step Solution

1. Step 1: Write the proportion equation
   105,232 : 152,318 = 152,318 : x
2. Step 2: Convert to fraction form
   105,232/152,318 = 152,318/x
3. Step 3: Cross multiply
   105,232x = 152,318 × 152,318
4. Step 4: Simplify right side
   105,232x = 23,200,773,124
5. Step 5: Solve for x
   x = 23,200,773,124/105,232
6. Step 6: Final answer
   x = 220,472.60