Finding the Third Proportional to 152,424 and 205,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,424 : 205,612.50 = 205,612.50 : x
2. Step 2: Convert to fraction form
   152,424/205,612.50 = 205,612.50/x
3. Step 3: Cross multiply
   152,424x = 205,612.50 × 205,612.50
4. Step 4: Simplify right side
   152,424x = 42,276,500,156.25
5. Step 5: Solve for x
   x = 42,276,500,156.25/152,424
6. Step 6: Final answer
   x = 277,361.18