Finding the Third Proportional to 94,239 and 205,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   94,239 : 205,123.50 = 205,123.50 : x
2. Step 2: Convert to fraction form
   94,239/205,123.50 = 205,123.50/x
3. Step 3: Cross multiply
   94,239x = 205,123.50 × 205,123.50
4. Step 4: Simplify right side
   94,239x = 42,075,650,252.25
5. Step 5: Solve for x
   x = 42,075,650,252.25/94,239
6. Step 6: Final answer
   x = 446,478.11