Finding the Third Proportional to 42,123 and 93,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   42,123 : 93,586.50 = 93,586.50 : x
2. Step 2: Convert to fraction form
   42,123/93,586.50 = 93,586.50/x
3. Step 3: Cross multiply
   42,123x = 93,586.50 × 93,586.50
4. Step 4: Simplify right side
   42,123x = 8,758,432,982.25
5. Step 5: Solve for x
   x = 8,758,432,982.25/42,123
6. Step 6: Final answer
   x = 207,925.19