Finding the Third Proportional to 74,223 and 114,088.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,223 : 114,088.50 = 114,088.50 : x
2. Step 2: Convert to fraction form
   74,223/114,088.50 = 114,088.50/x
3. Step 3: Cross multiply
   74,223x = 114,088.50 × 114,088.50
4. Step 4: Simplify right side
   74,223x = 13,016,185,832.25
5. Step 5: Solve for x
   x = 13,016,185,832.25/74,223
6. Step 6: Final answer
   x = 175,365.94