Finding the Third Proportional to 73,858.50 and 114,574.50

Step by Step Solution

1. Step 1: Write the proportion equation
   73,858.50 : 114,574.50 = 114,574.50 : x
2. Step 2: Convert to fraction form
   73,858.50/114,574.50 = 114,574.50/x
3. Step 3: Cross multiply
   73,858.50x = 114,574.50 × 114,574.50
4. Step 4: Simplify right side
   73,858.50x = 13,127,316,050.25
5. Step 5: Solve for x
   x = 13,127,316,050.25/73,858.50
6. Step 6: Final answer
   x = 177,736.02