Finding the Third Proportional to 526,206 and 769,612.50

Step by Step Solution

1. Step 1: Write the proportion equation
   526,206 : 769,612.50 = 769,612.50 : x
2. Step 2: Convert to fraction form
   526,206/769,612.50 = 769,612.50/x
3. Step 3: Cross multiply
   526,206x = 769,612.50 × 769,612.50
4. Step 4: Simplify right side
   526,206x = 592,303,400,156.25
5. Step 5: Solve for x
   x = 592,303,400,156.25/526,206
6. Step 6: Final answer
   x = 1,125,611.26