Finding the Third Proportional to 149,886 and 194,461.88

Step by Step Solution

1. Step 1: Write the proportion equation
   149,886 : 194,461.88 = 194,461.88 : x
2. Step 2: Convert to fraction form
   149,886/194,461.88 = 194,461.88/x
3. Step 3: Cross multiply
   149,886x = 194,461.88 × 194,461.88
4. Step 4: Simplify right side
   149,886x = 37,815,420,828.52
5. Step 5: Solve for x
   x = 37,815,420,828.52/149,886
6. Step 6: Final answer
   x = 252,294.55