Finding the Third Proportional to 78,467.50 and 114,055.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,467.50 : 114,055.50 = 114,055.50 : x
2. Step 2: Convert to fraction form
   78,467.50/114,055.50 = 114,055.50/x
3. Step 3: Cross multiply
   78,467.50x = 114,055.50 × 114,055.50
4. Step 4: Simplify right side
   78,467.50x = 13,008,657,080.25
5. Step 5: Solve for x
   x = 13,008,657,080.25/78,467.50
6. Step 6: Final answer
   x = 165,784.01