Finding the Third Proportional to 120,213 and 187,123.50

Step by Step Solution

1. Step 1: Write the proportion equation
   120,213 : 187,123.50 = 187,123.50 : x
2. Step 2: Convert to fraction form
   120,213/187,123.50 = 187,123.50/x
3. Step 3: Cross multiply
   120,213x = 187,123.50 × 187,123.50
4. Step 4: Simplify right side
   120,213x = 35,015,204,252.25
5. Step 5: Solve for x
   x = 35,015,204,252.25/120,213
6. Step 6: Final answer
   x = 291,276.35