Finding the Third Proportional to 78,858 and 168,043.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,858 : 168,043.50 = 168,043.50 : x
2. Step 2: Convert to fraction form
   78,858/168,043.50 = 168,043.50/x
3. Step 3: Cross multiply
   78,858x = 168,043.50 × 168,043.50
4. Step 4: Simplify right side
   78,858x = 28,238,617,892.25
5. Step 5: Solve for x
   x = 28,238,617,892.25/78,858
6. Step 6: Final answer
   x = 358,094.52