Finding the Third Proportional to 535,788 and 727,656.75

Step by Step Solution

1. Step 1: Write the proportion equation
   535,788 : 727,656.75 = 727,656.75 : x
2. Step 2: Convert to fraction form
   535,788/727,656.75 = 727,656.75/x
3. Step 3: Cross multiply
   535,788x = 727,656.75 × 727,656.75
4. Step 4: Simplify right side
   535,788x = 529,484,345,820.56
5. Step 5: Solve for x
   x = 529,484,345,820.56/535,788
6. Step 6: Final answer
   x = 988,234.80