Finding the Third Proportional to 114,327 and 154,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   114,327 : 154,219.50 = 154,219.50 : x
2. Step 2: Convert to fraction form
   114,327/154,219.50 = 154,219.50/x
3. Step 3: Cross multiply
   114,327x = 154,219.50 × 154,219.50
4. Step 4: Simplify right side
   114,327x = 23,783,654,180.25
5. Step 5: Solve for x
   x = 23,783,654,180.25/114,327
6. Step 6: Final answer
   x = 208,031.82