Finding the Third Proportional to 361,584 and 534,994.88

Step by Step Solution

1. Step 1: Write the proportion equation
   361,584 : 534,994.88 = 534,994.88 : x
2. Step 2: Convert to fraction form
   361,584/534,994.88 = 534,994.88/x
3. Step 3: Cross multiply
   361,584x = 534,994.88 × 534,994.88
4. Step 4: Simplify right side
   361,584x = 286,219,516,276.27
5. Step 5: Solve for x
   x = 286,219,516,276.27/361,584
6. Step 6: Final answer
   x = 791,571.30