Finding the Third Proportional to 69,681 and 105,174.56

Step by Step Solution

1. Step 1: Write the proportion equation
   69,681 : 105,174.56 = 105,174.56 : x
2. Step 2: Convert to fraction form
   69,681/105,174.56 = 105,174.56/x
3. Step 3: Cross multiply
   69,681x = 105,174.56 × 105,174.56
4. Step 4: Simplify right side
   69,681x = 11,061,688,597.07
5. Step 5: Solve for x
   x = 11,061,688,597.07/69,681
6. Step 6: Final answer
   x = 158,747.56