Finding the Third Proportional to 202,624 and 469,076

Step by Step Solution

1. Step 1: Write the proportion equation
   202,624 : 469,076 = 469,076 : x
2. Step 2: Convert to fraction form
   202,624/469,076 = 469,076/x
3. Step 3: Cross multiply
   202,624x = 469,076 × 469,076
4. Step 4: Simplify right side
   202,624x = 220,032,293,776
5. Step 5: Solve for x
   x = 220,032,293,776/202,624
6. Step 6: Final answer
   x = 1,085,914.27