Finding the Third Proportional to 78,819 and 115,156.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,819 : 115,156.50 = 115,156.50 : x
2. Step 2: Convert to fraction form
   78,819/115,156.50 = 115,156.50/x
3. Step 3: Cross multiply
   78,819x = 115,156.50 × 115,156.50
4. Step 4: Simplify right side
   78,819x = 13,261,019,492.25
5. Step 5: Solve for x
   x = 13,261,019,492.25/78,819
6. Step 6: Final answer
   x = 168,246.48