Finding the Third Proportional to 152,719 and 253,070.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,719 : 253,070.50 = 253,070.50 : x
2. Step 2: Convert to fraction form
   152,719/253,070.50 = 253,070.50/x
3. Step 3: Cross multiply
   152,719x = 253,070.50 × 253,070.50
4. Step 4: Simplify right side
   152,719x = 64,044,677,970.25
5. Step 5: Solve for x
   x = 64,044,677,970.25/152,719
6. Step 6: Final answer
   x = 419,362.87