Finding the Third Proportional to 120,394 and 186,677.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,394 : 186,677.50 = 186,677.50 : x
2. Step 2: Convert to fraction form
   120,394/186,677.50 = 186,677.50/x
3. Step 3: Cross multiply
   120,394x = 186,677.50 × 186,677.50
4. Step 4: Simplify right side
   120,394x = 34,848,489,006.25
5. Step 5: Solve for x
   x = 34,848,489,006.25/120,394
6. Step 6: Final answer
   x = 289,453.70