Finding the Third Proportional to 527,415 and 781,258.50

Step by Step Solution

1. Step 1: Write the proportion equation
   527,415 : 781,258.50 = 781,258.50 : x
2. Step 2: Convert to fraction form
   527,415/781,258.50 = 781,258.50/x
3. Step 3: Cross multiply
   527,415x = 781,258.50 × 781,258.50
4. Step 4: Simplify right side
   527,415x = 610,364,843,822.25
5. Step 5: Solve for x
   x = 610,364,843,822.25/527,415
6. Step 6: Final answer
   x = 1,157,276.23