Finding the Third Proportional to 74,112 and 114,637.50

Step by Step Solution

1. Step 1: Write the proportion equation
   74,112 : 114,637.50 = 114,637.50 : x
2. Step 2: Convert to fraction form
   74,112/114,637.50 = 114,637.50/x
3. Step 3: Cross multiply
   74,112x = 114,637.50 × 114,637.50
4. Step 4: Simplify right side
   74,112x = 13,141,756,406.25
5. Step 5: Solve for x
   x = 13,141,756,406.25/74,112
6. Step 6: Final answer
   x = 177,322.92