Finding the Third Proportional to 105,978 and 148,528.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,978 : 148,528.50 = 148,528.50 : x
2. Step 2: Convert to fraction form
   105,978/148,528.50 = 148,528.50/x
3. Step 3: Cross multiply
   105,978x = 148,528.50 × 148,528.50
4. Step 4: Simplify right side
   105,978x = 22,060,715,312.25
5. Step 5: Solve for x
   x = 22,060,715,312.25/105,978
6. Step 6: Final answer
   x = 208,163.16