Finding the Third Proportional to 35,678.50 and 78,419.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,678.50 : 78,419.50 = 78,419.50 : x
2. Step 2: Convert to fraction form
   35,678.50/78,419.50 = 78,419.50/x
3. Step 3: Cross multiply
   35,678.50x = 78,419.50 × 78,419.50
4. Step 4: Simplify right side
   35,678.50x = 6,149,617,980.25
5. Step 5: Solve for x
   x = 6,149,617,980.25/35,678.50
6. Step 6: Final answer
   x = 172,362.01