Finding the Third Proportional to 106,061 and 148,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106,061 : 148,663.50 = 148,663.50 : x
2. Step 2: Convert to fraction form
   106,061/148,663.50 = 148,663.50/x
3. Step 3: Cross multiply
   106,061x = 148,663.50 × 148,663.50
4. Step 4: Simplify right side
   106,061x = 22,100,836,232.25
5. Step 5: Solve for x
   x = 22,100,836,232.25/106,061
6. Step 6: Final answer
   x = 208,378.54