Finding the Third Proportional to 387,784.50 and 558,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   387,784.50 : 558,523.50 = 558,523.50 : x
2. Step 2: Convert to fraction form
   387,784.50/558,523.50 = 558,523.50/x
3. Step 3: Cross multiply
   387,784.50x = 558,523.50 × 558,523.50
4. Step 4: Simplify right side
   387,784.50x = 311,948,500,052.25
5. Step 5: Solve for x
   x = 311,948,500,052.25/387,784.50
6. Step 6: Final answer
   x = 804,437.77