Finding the Third Proportional to 118,314 and 188,344.50

Step by Step Solution

1. Step 1: Write the proportion equation
   118,314 : 188,344.50 = 188,344.50 : x
2. Step 2: Convert to fraction form
   118,314/188,344.50 = 188,344.50/x
3. Step 3: Cross multiply
   118,314x = 188,344.50 × 188,344.50
4. Step 4: Simplify right side
   118,314x = 35,473,650,680.25
5. Step 5: Solve for x
   x = 35,473,650,680.25/118,314
6. Step 6: Final answer
   x = 299,826.32