Finding the Third Proportional to 45,546 and 97,894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,546 : 97,894.50 = 97,894.50 : x
2. Step 2: Convert to fraction form
   45,546/97,894.50 = 97,894.50/x
3. Step 3: Cross multiply
   45,546x = 97,894.50 × 97,894.50
4. Step 4: Simplify right side
   45,546x = 9,583,333,130.25
5. Step 5: Solve for x
   x = 9,583,333,130.25/45,546
6. Step 6: Final answer
   x = 210,409.98