Finding the Third Proportional to 102,219 and 220,061

Step by Step Solution

1. Step 1: Write the proportion equation
   102,219 : 220,061 = 220,061 : x
2. Step 2: Convert to fraction form
   102,219/220,061 = 220,061/x
3. Step 3: Cross multiply
   102,219x = 220,061 × 220,061
4. Step 4: Simplify right side
   102,219x = 48,426,843,721
5. Step 5: Solve for x
   x = 48,426,843,721/102,219
6. Step 6: Final answer
   x = 473,755.80