Finding the Third Proportional to 101,106 and 145,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   101,106 : 145,645.50 = 145,645.50 : x
2. Step 2: Convert to fraction form
   101,106/145,645.50 = 145,645.50/x
3. Step 3: Cross multiply
   101,106x = 145,645.50 × 145,645.50
4. Step 4: Simplify right side
   101,106x = 21,212,611,670.25
5. Step 5: Solve for x
   x = 21,212,611,670.25/101,106
6. Step 6: Final answer
   x = 209,805.67