Finding the Third Proportional to 386,235 and 565,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   386,235 : 565,528.50 = 565,528.50 : x
2. Step 2: Convert to fraction form
   386,235/565,528.50 = 565,528.50/x
3. Step 3: Cross multiply
   386,235x = 565,528.50 × 565,528.50
4. Step 4: Simplify right side
   386,235x = 319,822,484,312.25
5. Step 5: Solve for x
   x = 319,822,484,312.25/386,235
6. Step 6: Final answer
   x = 828,051.53