Finding the Third Proportional to 53,632 and 78,898

Step by Step Solution

1. Step 1: Write the proportion equation
   53,632 : 78,898 = 78,898 : x
2. Step 2: Convert to fraction form
   53,632/78,898 = 78,898/x
3. Step 3: Cross multiply
   53,632x = 78,898 × 78,898
4. Step 4: Simplify right side
   53,632x = 6,224,894,404
5. Step 5: Solve for x
   x = 6,224,894,404/53,632
6. Step 6: Final answer
   x = 116,066.80