Finding the Third Proportional to 83,430 and 128,061

Step by Step Solution

1. Step 1: Write the proportion equation
   83,430 : 128,061 = 128,061 : x
2. Step 2: Convert to fraction form
   83,430/128,061 = 128,061/x
3. Step 3: Cross multiply
   83,430x = 128,061 × 128,061
4. Step 4: Simplify right side
   83,430x = 16,399,619,721
5. Step 5: Solve for x
   x = 16,399,619,721/83,430
6. Step 6: Final answer
   x = 196,567.42