Finding the Third Proportional to 98,769 and 233,061

Step by Step Solution

1. Step 1: Write the proportion equation
   98,769 : 233,061 = 233,061 : x
2. Step 2: Convert to fraction form
   98,769/233,061 = 233,061/x
3. Step 3: Cross multiply
   98,769x = 233,061 × 233,061
4. Step 4: Simplify right side
   98,769x = 54,317,429,721
5. Step 5: Solve for x
   x = 54,317,429,721/98,769
6. Step 6: Final answer
   x = 549,944.11