Finding the Third Proportional to 101,196 and 148,513.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,196 : 148,513.50 = 148,513.50 : x
2. Step 2: Convert to fraction form
   101,196/148,513.50 = 148,513.50/x
3. Step 3: Cross multiply
   101,196x = 148,513.50 × 148,513.50
4. Step 4: Simplify right side
   101,196x = 22,056,259,682.25
5. Step 5: Solve for x
   x = 22,056,259,682.25/101,196
6. Step 6: Final answer
   x = 217,955.84