Finding the Third Proportional to 109,101 and 148,099.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,101 : 148,099.50 = 148,099.50 : x
2. Step 2: Convert to fraction form
   109,101/148,099.50 = 148,099.50/x
3. Step 3: Cross multiply
   109,101x = 148,099.50 × 148,099.50
4. Step 4: Simplify right side
   109,101x = 21,933,461,900.25
5. Step 5: Solve for x
   x = 21,933,461,900.25/109,101
6. Step 6: Final answer
   x = 201,038.14