Finding the Third Proportional to 99,925 and 214,094.50

Step by Step Solution

1. Step 1: Write the proportion equation
   99,925 : 214,094.50 = 214,094.50 : x
2. Step 2: Convert to fraction form
   99,925/214,094.50 = 214,094.50/x
3. Step 3: Cross multiply
   99,925x = 214,094.50 × 214,094.50
4. Step 4: Simplify right side
   99,925x = 45,836,454,930.25
5. Step 5: Solve for x
   x = 45,836,454,930.25/99,925
6. Step 6: Final answer
   x = 458,708.58