Finding the Third Proportional to 181,076 and 266,061

Step by Step Solution

1. Step 1: Write the proportion equation
   181,076 : 266,061 = 266,061 : x
2. Step 2: Convert to fraction form
   181,076/266,061 = 266,061/x
3. Step 3: Cross multiply
   181,076x = 266,061 × 266,061
4. Step 4: Simplify right side
   181,076x = 70,788,455,721
5. Step 5: Solve for x
   x = 70,788,455,721/181,076
6. Step 6: Final answer
   x = 390,932.29