Finding the Third Proportional to 152,208 and 242,407.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,208 : 242,407.50 = 242,407.50 : x
2. Step 2: Convert to fraction form
   152,208/242,407.50 = 242,407.50/x
3. Step 3: Cross multiply
   152,208x = 242,407.50 × 242,407.50
4. Step 4: Simplify right side
   152,208x = 58,761,396,056.25
5. Step 5: Solve for x
   x = 58,761,396,056.25/152,208
6. Step 6: Final answer
   x = 386,059.84