Finding the Third Proportional to 564,339 and 765,580.50

Step by Step Solution

1. Step 1: Write the proportion equation
   564,339 : 765,580.50 = 765,580.50 : x
2. Step 2: Convert to fraction form
   564,339/765,580.50 = 765,580.50/x
3. Step 3: Cross multiply
   564,339x = 765,580.50 × 765,580.50
4. Step 4: Simplify right side
   564,339x = 586,113,501,980.25
5. Step 5: Solve for x
   x = 586,113,501,980.25/564,339
6. Step 6: Final answer
   x = 1,038,584.08