Finding the Third Proportional to 202,572 and 468,978

Step by Step Solution

1. Step 1: Write the proportion equation
   202,572 : 468,978 = 468,978 : x
2. Step 2: Convert to fraction form
   202,572/468,978 = 468,978/x
3. Step 3: Cross multiply
   202,572x = 468,978 × 468,978
4. Step 4: Simplify right side
   202,572x = 219,940,364,484
5. Step 5: Solve for x
   x = 219,940,364,484/202,572
6. Step 6: Final answer
   x = 1,085,739.22