Finding the Third Proportional to 122,526 and 187,393.50

Step by Step Solution

1. Step 1: Write the proportion equation
   122,526 : 187,393.50 = 187,393.50 : x
2. Step 2: Convert to fraction form
   122,526/187,393.50 = 187,393.50/x
3. Step 3: Cross multiply
   122,526x = 187,393.50 × 187,393.50
4. Step 4: Simplify right side
   122,526x = 35,116,323,842.25
5. Step 5: Solve for x
   x = 35,116,323,842.25/122,526
6. Step 6: Final answer
   x = 286,603.04