Finding the Third Proportional to 96,156 and 208,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   96,156 : 208,147.50 = 208,147.50 : x
2. Step 2: Convert to fraction form
   96,156/208,147.50 = 208,147.50/x
3. Step 3: Cross multiply
   96,156x = 208,147.50 × 208,147.50
4. Step 4: Simplify right side
   96,156x = 43,325,381,756.25
5. Step 5: Solve for x
   x = 43,325,381,756.25/96,156
6. Step 6: Final answer
   x = 450,573.88