Finding the Third Proportional to 99,926.50 and 214,097.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,926.50 : 214,097.50 = 214,097.50 : x
2. Step 2: Convert to fraction form
   99,926.50/214,097.50 = 214,097.50/x
3. Step 3: Cross multiply
   99,926.50x = 214,097.50 × 214,097.50
4. Step 4: Simplify right side
   99,926.50x = 45,837,739,506.25
5. Step 5: Solve for x
   x = 45,837,739,506.25/99,926.50
6. Step 6: Final answer
   x = 458,714.55