Finding the Third Proportional to 76,140 and 111,611.25

Step by Step Solution

1. Step 1: Write the proportion equation
   76,140 : 111,611.25 = 111,611.25 : x
2. Step 2: Convert to fraction form
   76,140/111,611.25 = 111,611.25/x
3. Step 3: Cross multiply
   76,140x = 111,611.25 × 111,611.25
4. Step 4: Simplify right side
   76,140x = 12,457,071,126.56
5. Step 5: Solve for x
   x = 12,457,071,126.56/76,140
6. Step 6: Final answer
   x = 163,607.45