Finding the Third Proportional to 413,510 and 877,207.50

Step by Step Solution

1. Step 1: Write the proportion equation
   413,510 : 877,207.50 = 877,207.50 : x
2. Step 2: Convert to fraction form
   413,510/877,207.50 = 877,207.50/x
3. Step 3: Cross multiply
   413,510x = 877,207.50 × 877,207.50
4. Step 4: Simplify right side
   413,510x = 769,492,998,056.25
5. Step 5: Solve for x
   x = 769,492,998,056.25/413,510
6. Step 6: Final answer
   x = 1,860,881.23