Finding the Third Proportional to 78,318 and 114,646.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,318 : 114,646.50 = 114,646.50 : x
2. Step 2: Convert to fraction form
   78,318/114,646.50 = 114,646.50/x
3. Step 3: Cross multiply
   78,318x = 114,646.50 × 114,646.50
4. Step 4: Simplify right side
   78,318x = 13,143,819,962.25
5. Step 5: Solve for x
   x = 13,143,819,962.25/78,318
6. Step 6: Final answer
   x = 167,826.30