Finding the Third Proportional to 77,546 and 116,316

Step by Step Solution

1. Step 1: Write the proportion equation
   77,546 : 116,316 = 116,316 : x
2. Step 2: Convert to fraction form
   77,546/116,316 = 116,316/x
3. Step 3: Cross multiply
   77,546x = 116,316 × 116,316
4. Step 4: Simplify right side
   77,546x = 13,529,411,856
5. Step 5: Solve for x
   x = 13,529,411,856/77,546
6. Step 6: Final answer
   x = 174,469.50