Finding the Third Proportional to 78,219 and 171,985.50

Step by Step Solution

1. Step 1: Write the proportion equation
   78,219 : 171,985.50 = 171,985.50 : x
2. Step 2: Convert to fraction form
   78,219/171,985.50 = 171,985.50/x
3. Step 3: Cross multiply
   78,219x = 171,985.50 × 171,985.50
4. Step 4: Simplify right side
   78,219x = 29,579,012,210.25
5. Step 5: Solve for x
   x = 29,579,012,210.25/78,219
6. Step 6: Final answer
   x = 378,156.36