Finding the Third Proportional to 121,683 and 187,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   121,683 : 187,528.50 = 187,528.50 : x
2. Step 2: Convert to fraction form
   121,683/187,528.50 = 187,528.50/x
3. Step 3: Cross multiply
   121,683x = 187,528.50 × 187,528.50
4. Step 4: Simplify right side
   121,683x = 35,166,938,312.25
5. Step 5: Solve for x
   x = 35,166,938,312.25/121,683
6. Step 6: Final answer
   x = 289,004.53