Finding the Third Proportional to 381,525 and 565,807.50

Step by Step Solution

1. Step 1: Write the proportion equation
   381,525 : 565,807.50 = 565,807.50 : x
2. Step 2: Convert to fraction form
   381,525/565,807.50 = 565,807.50/x
3. Step 3: Cross multiply
   381,525x = 565,807.50 × 565,807.50
4. Step 4: Simplify right side
   381,525x = 320,138,127,056.25
5. Step 5: Solve for x
   x = 320,138,127,056.25/381,525
6. Step 6: Final answer
   x = 839,101.31