Finding the Third Proportional to 97,645.50 and 147,298.50

Step by Step Solution

1. Step 1: Write the proportion equation
   97,645.50 : 147,298.50 = 147,298.50 : x
2. Step 2: Convert to fraction form
   97,645.50/147,298.50 = 147,298.50/x
3. Step 3: Cross multiply
   97,645.50x = 147,298.50 × 147,298.50
4. Step 4: Simplify right side
   97,645.50x = 21,696,848,102.25
5. Step 5: Solve for x
   x = 21,696,848,102.25/97,645.50
6. Step 6: Final answer
   x = 222,200.18