Finding the Third Proportional to 94,012.88 and 205,174.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,012.88 : 205,174.50 = 205,174.50 : x
2. Step 2: Convert to fraction form
   94,012.88/205,174.50 = 205,174.50/x
3. Step 3: Cross multiply
   94,012.88x = 205,174.50 × 205,174.50
4. Step 4: Simplify right side
   94,012.88x = 42,096,575,450.25
5. Step 5: Solve for x
   x = 42,096,575,450.25/94,012.88
6. Step 6: Final answer
   x = 447,774.58