Finding the Third Proportional to 99,862 and 217,356.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,862 : 217,356.50 = 217,356.50 : x
2. Step 2: Convert to fraction form
   99,862/217,356.50 = 217,356.50/x
3. Step 3: Cross multiply
   99,862x = 217,356.50 × 217,356.50
4. Step 4: Simplify right side
   99,862x = 47,243,848,092.25
5. Step 5: Solve for x
   x = 47,243,848,092.25/99,862
6. Step 6: Final answer
   x = 473,091.35