Finding the Third Proportional to 100,926 and 212,308.59

Step by Step Solution

1. Step 1: Write the proportion equation
   100,926 : 212,308.59 = 212,308.59 : x
2. Step 2: Convert to fraction form
   100,926/212,308.59 = 212,308.59/x
3. Step 3: Cross multiply
   100,926x = 212,308.59 × 212,308.59
4. Step 4: Simplify right side
   100,926x = 45,074,938,980.10
5. Step 5: Solve for x
   x = 45,074,938,980.10/100,926
6. Step 6: Final answer
   x = 446,613.75